p=(4q+3)(2q+1)

Solution for p=(4q+3)(2q+1) equation:

Simplifying
p = (4q + 3)(2q + 1)

Reorder the terms:
p = (3 + 4q)(2q + 1)

Reorder the terms:
p = (3 + 4q)(1 + 2q)

Multiply (3 + 4q) * (1 + 2q)
p = (3(1 + 2q) + 4q * (1 + 2q))
p = ((1 * 3 + 2q * 3) + 4q * (1 + 2q))
p = ((3 + 6q) + 4q * (1 + 2q))
p = (3 + 6q + (1 * 4q + 2q * 4q))
p = (3 + 6q + (4q + 8q2))

Combine like terms: 6q + 4q = 10q
p = (3 + 10q + 8q2)

Solving
p = 3 + 10q + 8q2

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Simplifying
p = 3 + 10q + 8q2